Positive dynamical systems in discrete time : theory, models, and applications by / Ulrich Krause.

Format:

Book

Author/Creator:

Krause, Ulrich, 1940- author.

Series:

De Gruyter studies in mathematics ; 62.

De Gruyter studies in mathematics ; 62

Language:

English

Subjects (All):

Arithmetic--Foundations--Textbooks.

Arithmetic.

Set theory--Textbooks.

Set theory.

Physical Description:

1 online resource (366 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2015]

Language Note:

English

Summary:

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

Contents:

Frontmatter

Preface

Contents

Notation

List of Figures

1. How positive discrete dynamical systems do arise

2. Concave Perron-Frobenius theory

3. Internal metrics on convex cones

4. Contractive dynamics on metric spaces

5. Ascending dynamics in convex cones of infinite dimension

6. Limit set trichotomy

7. Non-autonomous positive systems

8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms

Index

Backmatter

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

3-11-036569-3

3-11-039134-1

OCLC:

1013949401